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Solve the given problem using gussian elimination (see attached photo)
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- One of your duties is the selection and disposal of boxes of obsolete files. According to regulations, ordinary files become obsolete after 24 months, confidential files after 36 months and classified files after 48 months. Which of the following boxes of files can be disposed of: A box containing ordinary files dated 26 months ago and classified files dated 34 months ago. A box containing ordinary files dated 38 months ago and confidential files dated 28 months ago.The personal computer industry is very fast moving and technology provides motivation for customers to upgrade with new computers every few years. Brand loyalty is very important and companies try to do things to keep their customers happy. However some current customers will switch to a different company. Three particular brands, Doorway, Bel and Kumpaq, hold the major shares of the market. People who own Doorway computers will buy an- other Doorway in their next purchase 80% of the time, while the rest will switch to the other compa- nies in equal proportions. Owners of Bell computers will buy Bell again 90% of the time, while 5% will buy Doorway and 5% will buy Kumpaq. About 70% of the Kumpaq owners will make Kumpaq their next purchase while 20% will buy Doorway and the rest wil buy Bell. If each brand currently has 200,000 customers who plan to buy a new computer in the next year, how many computers of each type will be purchased?Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Each section of Finite Math has 40 students and earns the college $40,000 in revenue. Each section of Applied Calculus has 40 students and earns the college $60,000, while each section of Computer Methods has 10 students and earns the college $13,000. Assuming the college wishes to offer a total of six sections, accommodate 210 students, and bring in $253,000in revenues, how many sections of each course should it offer? Finite Math section(s)Applied Calculus section(s) Computer Methods section(s)
- Ace construction company builds two kinds of the driveway: asphalt and concrete. For atypical home, an asphalt driveway requires 4 tons of asphalt and 7 tons of gravel, whereasa concrete driveway requires 1 yard of concrete and 6 tons of gravel. Each ton of asphaltcosts $55, each ton of gravel costs $30, and each yard of concrete costs $67. During thecurrent month, it is expected that 120 asphalt driveways and 95 concrete driveways will be built.i. Write the quantities of driveways to be built and the materials cost as a matrix.ii. Write the amounts of materials to be used per driveway as a matrix.iii. Using matrix multiplication, determine the total expected materials costs.A confectioner sells two types of nut mixtures. The standard-mixture package contains 100 g of cashews and 200 g of peanuts and sells for $1.85. The deluxe-mixture package contains 150 g of cashews and 50 g of peanuts and sells for $2.35. The confectioner has 15 kg of cashews and 20 kg of peanuts available. On the basis of past sales, the confectioner needs to have at least as many standard as deluxe packages available. How many bags of each mixture should he package to maximize his revenue?A diabetic patient needs at least 40 units of Vitamin A, at least 30 units of Vitamin C and at least 30 units of Vitamin E each day. Each brand X multivitamin capsule contains 4 units of A, 6 units of C and 2 units of E; each brand Y capsule contains 5 units of A, 3 units of C and 5 units of E. If eachbrand X capsule costs Php 6.00 and each brand Y costs Php 9.00, how many capsules should the patient take each day to minimize the cost?
- Assume that the production of 1 unit of magnesium requires 0.8 units of magnesium and 0.2 units of aluminum, and that the production of 1 unit of aluminum requires 0.3 units of magnesium and 0.2 units of aluminum.Suppose 55 percent of the customers at Pizza Palooza order a square pizza, 78 percent order a soft drink, and 43 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza? Yes Noiv. 3. will give upvote
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